ℓ^p-pseudofunctions produce well-behaved crossed product functors whose Banach algebras and C*-envelopes are independent of Hilbert space choice and exotic for some non-amenable actions.
K-theory of group Banach algebras and Banach property RD
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
We investigate Banach algebras of convolution operators on the $L^p$ spaces of a locally compact group, and their K-theory. We show that for a discrete group, the corresponding K-theory groups depend continuously on $p$ in an inductive sense. Via a Banach version of property RD, we show that for a large class of groups, the K-theory groups of the Banach algebras are independent of $p$.
years
2026 2verdicts
UNVERDICTED 2representative citing papers
Proves property A implies p-nuclearity of ℓ^p uniform Roe algebras, introduces p-ITAP for groups, and characterizes exact discrete groups via these algebras with p-operator space coefficients.
citing papers explorer
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Crossed product functors associated to $\ell^p$-pseudofunctions
ℓ^p-pseudofunctions produce well-behaved crossed product functors whose Banach algebras and C*-envelopes are independent of Hilbert space choice and exotic for some non-amenable actions.
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On some $p$-approximation properties of exact discrete groups and $\ell^p$ uniform Roe algebras
Proves property A implies p-nuclearity of ℓ^p uniform Roe algebras, introduces p-ITAP for groups, and characterizes exact discrete groups via these algebras with p-operator space coefficients.